11056375680 has 768 divisors, whose sum is σ = 45008732160. Its totient is φ = 2291466240.

The previous prime is 11056375679. The next prime is 11056375699. The reversal of 11056375680 is 8657365011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49580049 + ... + 49580271.

It is an arithmetic number, because the mean of its divisors is an integer number (58605120).

Almost surely, 2^11056375680 is an apocalyptic number.

11056375680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11056375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22504366080).

11056375680 is an abundant number, since it is smaller than the sum of its proper divisors (33952356480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11056375680 is a wasteful number, since it uses less digits than its factorization.

11056375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 11056375680 in words is "eleven billion, fifty-six million, three hundred seventy-five thousand, six hundred eighty".